(a) Prove that the polynomials form an orthogonal basis for P2 with respect to the weighted inner...
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form an orthogonal basis for P2 with respect to the weighted inner product
(b) Find the corresponding orthonormal basis.
(c) Write t2 as a linear combination of P0, P1, P2 using the orthogonal basis formula (5.7).
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Po(t) = 1, P1(t) = t- 2 ,
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